Skip to main content
SpringerLink
Log in

Neural network-based adaptive control of a class of uncertain nonlinear systems

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

For a general class of nonlinear systems with uncertainty, an adaptive control scheme based on combining sliding control ideas with neural network is proposed, the control law is to control the plant to track a desired reference signal within a prespecified precision. A global convergence result is provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Isidori,Nonlinear Control Systems, Springer-Verlag, (1989).

  2. S. S. Sastry and A. Isidori, Adaptive control of linearizable systems,IEEE. Trans. Auto. Contr.,34, 11 (1989).

    Article  MATH  MathSciNet  Google Scholar 

  3. D. G. Taylor, P. V. Kokotovic, R. Marino and I. Kanellakopouilos, Adaptive regulation of nonlinear systems with unmodeled dynamics.IEEE. Trans. Auto Contr.,34, 4 (1989).

    Article  MATH  Google Scholar 

  4. I. Kanellakopoulos, P. V. Kokotovic and R. Marino, Robustness of adaptive nonlinear control under an extended matching condition,IFAC Nonlinear Control Systems Design, (1989).

  5. I. Kanellakopoulos, P. V. Kokotovic, and A. S. Morse. Systematic design of adaptive controllers for feadback linearizable system.IEEE. Trans. Auto. Contr. 36, 11 (1991).

    Article  MATH  MathSciNet  Google Scholar 

  6. F. C. Chen, Back-propagation neural networks for nonlinear self-tuning adaptive control.IEEE. Contr. Syst. Mag.,10, 10 (1990).

    Article  Google Scholar 

  7. F. C. Chen, A dead-zone approach in nonlinear adaptive control using neural networks,Proc. 30th IEEE. C. D. C. (1991).

  8. C. C. Liu and F. C. Chen, Adaptive control of nonlinear continuoustime systems using neural networks-general ralative degree and MIMO cases.Int. J. Contr.,58, 2, (1993).

    MATH  Google Scholar 

  9. R. Sanner and J. J. E. Slotine, Stable adaptive control and recursive identification using radial gaussian networks,Proc. 30th IEEE. C. D. C. (1991).

  10. J. J. E. Slotine and J. K. Hedrick, Robust input-output feedback linearizationInt. J. Contr.,57, 5 (1993).

    MATH  MathSciNet  Google Scholar 

  11. K. Narendra and L. Valayani, A comparison of Lyapunov and hyperstability approaches to adaptive control of continous systems.IEEE Trans. Auto. Contr.,AC-25, 2 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of System Science and Mathematics, Zhengzhou University, 450052, Zhengzhou, P. R. China

    Mu Xiaowu

  2. Institute of System Science, Academia Sinica, 100080, Beijing, P. R. China

    Zhang Huaizhou

Authors
  1. Mu Xiaowu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Zhang Huaizhou
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by Zheng Quanshui

Project supported by the National Natural Science Foundation of China and Henan Natural Scientific Fund

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xiaowu, M., Huaizhou, Z. Neural network-based adaptive control of a class of uncertain nonlinear systems. Appl Math Mech 18, 91–95 (1997). https://doi.org/10.1007/BF02457505

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02457505

Key words

Search

Navigation